Greatest Common Factor of 3315 and 3321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3315, 3321 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3315 and 3321 is 3.

GCF(3315,3321) = 3

GCF of 3315 and 3321

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3315 and 3321

GCF of 3315 and 3321 is 3

Prime Factorization of 3315


3 3315
5 1105
13 221
17 17
1

Prime factors of 3315 are 3,5,13,17. Prime factorization of 3315 in exponential form is:

3315 = 31×51×131×171

Prime Factorization of 3321


3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 3321 are 3,41. Prime factorization of 3321 in exponential form is:

3321 = 34×411

∴ So by taking common prime factors GCF of 3315 and 3321 is 3

Greatest Common Factor of 3315 and 3321 by matching factors method

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315

Factors of 3321

List of positive integer factors of 3321 that divides 3321 without a remainder.

1,3,9,27,41,81,123,369,1107,3321

Greatest Common Factor

We found the factors and prime factorization of 3315 and 3321. The biggest common factor number is the GCF number.
So the greatest common factor 3315 and 3321 is 3.

Also check out the Least Common Multiple of 3315 and 3321

Properties of GCF 3315 and 3321

(i) The GCF of 3315 and 3321 is associative

GCF of 3315 and 3321 = GCF of 3321 and 3315

Related Greatest Common Factor of 3315

Related Greatest Common Factor of 3321

Frequently Asked Questions on GCF of 3315 and 3321

1. What is the GCF of 3315 and 3321?

Answer: GCF of 3315 and 3321 is 3.

2. What are the Factors of 3315?

Answer: Factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315. There are 16 integers that are factors of 3315. The greatest factor of 3315 is 3315.

3. What are the Factors of 3321?

Answer: Factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321. There are 10 integers that are factors of 3321. The greatest factor of 3321 is 3321.

4. How to Find the GCF of 3315 and 3321?

Answer:

Greatest Common Factor of 3315 and 3321 = 3

Step 1: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 3321

3321 = 3 x 3 x 3 x 3 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3315 and 3321 is 3